Is 3,137,775 a Prime Number?
No, 3,137,775 is not a prime number
Number Properties
- Value:3,137,775
- Number Type:Odd, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1011111110000011101111
- Hexadecimal:2FE0EF
Prime Status
3,137,775 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 52 × 17 × 23 × 107
Divisors
Total divisors: 48
1, 3, 5, 15, 17, 23, 25, 51, 69, 75, 85, 107, 115, 255, 321, 345, 391, 425, 535, 575, 1173, 1275, 1605, 1725, 1819, 1955, 2461, 2675, 5457, 5865, 7383, 8025, 9095, 9775, 12305, 27285, 29325, 36915, 41837, 45475, 61525, 125511, 136425, 184575, 209185, 627555, 1045925, 3137775
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.